GCF of 20/42, 879/94, 164/991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 20/42, 879/94, 164/991 i.e 1/1956234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/42, 879/94, 164/991.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 20/42,879/94,164/991?
Given fractions are 20/42,879/94,164/991
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 20/42,879/94,164/991, numerators are 20,879,164
Denominators are 42,94,991
The GCF of 20,879,164 is 1 .
LCM of 42,94,991 is 1956234.
The greatest common factor of 20/42,879/94,164/991 = [GCF of 20,879,164]/[LCM of 42,94,991]= 1/1956234
Therefore, the GCF of 20/42,879/94,164/991 is 1/1956234.
To find the highest common factor of 20,879,164, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 879 are 1, 3, 293, 879
The factors of 164 are 1, 2, 4, 41, 82, 164
The HCF of 20,879,164 is 1.
Lets's calculate GCF of 20,879,164
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 20,879,164 By Matching Biggest Common Factor Method
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 879
:1,3,293,879
Now, list down the factors of 164
:1,2,4,41,82,164
Greatest Common Factor
We found the factors 20,879,164 . The biggest common factor number is the GCF number.
So the greatest common factor 20,879,164 is 1.
Lets's calculate LCM of 42,94,991
| 2 | 42, 94, 991 |
| 21, 47, 991 |
∴ So the LCM of the given numbers is 2 x 21 x 47 x 991 = 1956234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1956234
Therefore, the GCF of Fractions 20/42,879/94,164/991 is 1/1956234
Least Common Multiple of 42,94,991 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 42,94,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,94,991) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(42,94,991) x common factors =1 x 2 = 2
LCM(42,94,991) = ( 42 × 94 × 991 ) / 2
LCM(42,94,991) = 3912468 / 2
LCM(42,94,991) = 1956234
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FAQs on GCF of Fractions of 20/42, 879/94, 164/991
1. What is the HCF of 20,879,164?
The HCF of 20,879,164 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 20/42, 879/94, 164/991?
Answer: GCF of Numerators as per given numbers 20/42, 879/94, 164/991 is
GCF of Numerators i.e. for 20,879,164 is 1
LCM of denominators i.e. for 42,94,991 is 1956234.
Thus, GCF of Fractions is 1/1956234.Finally, GCF of Fractions for 20/42, 879/94, 164/991 is 1/1956234.